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Solnce55 [7]
4 years ago
14

SHOW WORK WILL MARK BRAINLIEST

Mathematics
1 answer:
nasty-shy [4]4 years ago
8 0

Answer:

\large\boxed{x=\dfrac{5\pi}{4}\ \vee\ x=\dfrac{7\pi}{4}}

Step-by-step explanation:

The first step in attachment.

\sin(x)=-\dfrac{\sqrt2}{2}\to x=-\dfrac{\pi}{4}+2k\pi\ \vee\ x=\dfrac{5\pi}{4}+2k\pi\\\\x\in[0,\ 2\pi)\\\\\text{Therefore}\\\\x=-\dfrac{\pi}{4}+2\pi=\dfrac{7\pi}{4}\ \vee\ x=\dfrac{5\pi}{4}

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